Commentary on Theories of Mathematics Education

664 Subject Index
200, 203, 205–206, 211, 214, 216–
217, 219, 221–224, 228, 230–231,
244, 255, 265–266, 268–270, 279,
282, 293, 297–298, 306, 311, 314,
337, 341–342, 345, 352–357, 359–
360, 364–365, 369–370, 373–374,
381–385, 388–393, 397–398, 402–
409, 417–425, 432–433, 437–440,
443–444, 449, 451–452, 457, 460,
470–471, 480, 485–489, 494, 498,
500, 502–503, 508, 510, 531, 539,
544, 547–548, 552, 555, 558, 563,
565, 580, 582, 586, 593, 595, 600–
601, 613–615, 617, 622–623, 625,
633–639, 641–642
creation, 37, 199, 443, 633
development, 8, 88, 102, 148, 171, 176, 182,
188, 195, 282, 345, 421, 432, 544,
565, 634
explicit, 56–58, 216, 341, 494, 502, 544,
600
formation of, 114
forms of, 40, 83, 494, 544
pedagogical content, 153, 391, 403
scholarly, 51
structures, 8, 40, 45, 51, 101–102, 107,
111–115, 182, 188–189, 470, 480,
548, 580, 582
tacit, 54, 57–58, 600–601, 613, 617
L
Lakatos, 3, 8–11, 35–36, 75, 203, 372, 471
Learning, 4, 5, 7, 8, 10–16, 18–19, 22–26, 35,
37–46, 49–58, 60, 66, 71, 73–75,
77–78, 82–83, 88, 90–91, 93, 97–
98, 102, 114, 116, 121–122, 124–
125, 127–128, 130–132, 136, 140–
142, 144–147, 151–155, 163, 171–
172, 174–176, 184–186, 188–198,
202, 204–205, 212–217, 221, 223–
224, 230, 235–236, 246, 248, 251–
256, 263–265, 267–274, 278–280,
291–292, 294, 298–301, 305–306,
310–313, 315–316, 319–322, 324–
325, 333–337, 341–346, 352–354,
356–359, 371–374, 377, 381–383,
386, 391, 397–398, 403–405, 411,
413–414, 423, 435–436, 443–447,
449, 451, 456–457, 459, 467–469,
471–474, 479–480, 484, 487, 489–
491, 494–495, 498–499, 503, 510–
511, 515–516, 519–521, 539–540,
542–548, 551, 553, 557, 563, 565–
587, 593, 597, 601, 604–605, 609–
610, 616, 621–622, 624–627, 634–
639, 641–643
communities, 18, 56, 97, 142, 152, 301,
341, 443–444, 468, 570, 572, 582
contexts, 11, 66, 186, 268, 274, 279, 354,
373, 423, 584, 627
environments, 13, 55, 57, 60, 122, 141, 144,
151, 155, 172, 176, 184, 186, 212–
213, 230, 235, 306, 316, 325, 334,
354, 373, 383, 386, 423, 443, 472–
473, 495, 498, 566, 577–578, 580–
581, 622
meaningful, 263, 306
theory, 4, 10, 12, 22, 35, 37, 39, 42, 45, 49,
51, 53–54, 391, 403, 491
trajectory, 639
Local theory integration, 537, 540, 548, 556
M
Math wars, 20–21
Mathematical
ability, 236, 306, 324
inscriptions, 220
modeling, 261–264, 270, 272, 299–301
practices, 57–58, 261, 356, 369, 533
structure, 58, 90, 402, 405, 543
thinking, 5, 20, 93, 97, 107, 132, 142, 151,
181, 184, 187–189, 221, 225, 263,
266, 270, 272–273, 278, 283, 294,
315, 319, 321, 324–325, 333, 341,
343–344, 460, 473, 511, 563, 567,
593, 596–597, 601–602, 609–610,
624, 642
Mathematics
achievement, 431, 455–456, 458–461, 468
curriculum, 3, 20, 76–77, 154, 163, 254,
261–264, 267, 273–274, 291, 294,
324–325, 433, 449–450, 563, 565
education, ix, 7–37, 39, 42, 49–51, 55–69,
74–75, 80, 82–83, 87–91, 93, 97, 99,
102–105, 107–108, 111–116, 121–
130, 139–142, 145–149, 151–152,
154–156, 159–167, 172, 193, 199–
201, 205–206, 211, 213, 215, 217,
233, 235–236, 253, 261, 264, 269,
280, 291–295, 298, 309–310, 312,
316–317, 319–320, 322, 324–326,
337, 341, 343–344, 357, 369–371,
374–377, 397, 401, 405, 417, 422–
425, 431, 433, 435–437, 447, 449–
450, 452, 455, 471–472, 479–481,
483–491, 494, 497, 500, 507–508,
511, 515, 517, 519, 524, 531, 533,
537, 540, 545, 548, 551, 553–556,